The invention relates to a tool head for moving a tool (6) having a plurality of mobile shafts (2, 4, 5, 8, 11) which allow to move the tool (6) linearly and rotationally. The invention also relates to a combination drive (10) for driving a shaft by means of which the shaft (11) driven by the combination drive (10) can perform a linear and rotational movement and to the use of a combination drive (10) for driving a shaft (11) of a tool head for moving a tool, the shaft (11) driven by the combination drive (10) being capable of performing a linear and a rotational movement. The invention finally relates to a method for movement control. The invention provides a tool head that allows very high dynamics of movement of the tool.